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Finding the Fourth Proportional to 8,462.16, 12,695.34 and 3,197.16

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Solution

The fourth proportional to 8,462.16, 12,695.34 and 3,197.16 is: 4,796.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.16 : 12,695.34 = 3,197.16 : x
  2. Step 2: Convert to fraction form
    8,462.16/12,695.34 = 3,197.16/x
  3. Step 3: Cross multiply
    8,462.16x = 12,695.34 × 3,197.16
  4. Step 4: Simplify right side
    8,462.16x = 40,589,033.23
  5. Step 5: Solve for x
    x = 40,589,033.23/8,462.16
  6. Step 6: Final answer
    x = 4,796.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.